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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=-9/4, b>=a > For fixed z and a=-9/4, b=13/4





http://functions.wolfram.com/07.23.03.aehe.01









  


  








Input Form





Hypergeometric2F1[-(9/4), 13/4, 6, -z] == (1/(70659225 Pi z^5)) (16384 (1 + z)^(1/4) (2 (2048 + 6112 z + 4067 z^2 - 1540 z^3 + 1855 z^4 + 17206 z^5 + 16464 z^6 + 4704 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (2048 + 4576 z + 875 z^2 - 1750 z^3 + 3115 z^4 + 6076 z^5 + 2352 z^6) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (2048 + 6112 z + 4067 z^2 - 1540 z^3 + 1855 z^4 + 17206 z^5 + 16464 z^6 + 4704 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])]))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02